For the parametrically defined curve and

MATHEMATICS · Subjective · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

For the parametrically defined curve x=2t+1x=2t+1 and y=t2−4ty=t^{2}-4t, determine the equation of the tangent line at t=3t=3 in slope–intercept form.

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